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226249258704 = 24372931749011
BaseRepresentation
bin1101001010110110000…
…0011011011011010000
3210121222200220012002020
43102231200123123100
512201324302234304
6251534254451440
722226444653020
oct3225540333320
9717880805066
10226249258704
1187a51898837
1237a22503b80
1318448605a11
14ad4433ba80
155d42b625d9
hex34ad81b6d0

226249258704 has 160 divisors (see below), whose sum is σ = 713299107840. Its totient is φ = 60400166400.

The previous prime is 226249258679. The next prime is 226249258709. The reversal of 226249258704 is 407852942622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226249258709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72442 + ... + 676569.

It is an arithmetic number, because the mean of its divisors is an integer number (4458119424).

Almost surely, 2226249258704 is an apocalyptic number.

226249258704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226249258704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356649553920).

226249258704 is an abundant number, since it is smaller than the sum of its proper divisors (487049849136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226249258704 is a wasteful number, since it uses less digits than its factorization.

226249258704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749089 (or 749083 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 226249258704 in words is "two hundred twenty-six billion, two hundred forty-nine million, two hundred fifty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 31 42 48 56 58 62 84 87 93 112 116 124 168 174 186 203 217 232 248 336 348 372 406 434 464 496 609 651 696 744 812 868 899 1218 1302 1392 1488 1624 1736 1798 2436 2604 2697 3248 3472 3596 4872 5208 5394 6293 7192 9744 10416 10788 12586 14384 18879 21576 25172 37758 43152 50344 75516 100688 151032 302064 749011 1498022 2247033 2996044 4494066 5243077 5992088 8988132 10486154 11984176 15729231 17976264 20972308 21721319 23219341 31458462 35952528 41944616 43442638 46438682 62916924 65163957 69658023 83889232 86885276 92877364 125833848 130327914 139316046 152049233 162535387 173770552 185754728 251667696 260655828 278632092 304098466 325070774 347541104 371509456 456147699 487606161 521311656 557264184 608196932 650141548 673360889 912295398 975212322 1042623312 1114528368 1216393864 1300283096 1346721778 1824590796 1950424644 2020082667 2432787728 2600566192 2693443556 3649181592 3900849288 4040165334 4713526223 5386887112 7298363184 7801698576 8080330668 9427052446 10773774224 14140578669 16160661336 18854104892 28281157338 32321322672 37708209784 56562314676 75416419568 113124629352 226249258704